2575620 has 72 divisors (see below), whose sum is σ = 8026200. Its totient is φ = 668160.

The previous prime is 2575589. The next prime is 2575627. The reversal of 2575620 is 265752.

It can be written as a sum of positive squares in 4 ways, for example, as 66564 + 2509056 = 258^2 + 1584^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2575627) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7206 + ... + 7554.

It is an arithmetic number, because the mean of its divisors is an integer number (111475).

2^2575620 is an apocalyptic number.

2575620 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2575620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4013100).

2575620 is an abundant number, since it is smaller than the sum of its proper divisors (5450580).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2575620 is a wasteful number, since it uses less digits than its factorization.

2575620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 405 (or 400 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 27.

The square root of 2575620 is about 1604.8738268163. The cubic root of 2575620 is about 137.0757391070.

The spelling of 2575620 in words is "two million, five hundred seventy-five thousand, six hundred twenty".